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We investigate the stability problems of the n-dimensional Cauchy-Jensen type and the n-dimensional Pexiderized Cauchy-Jensen type fuzzy number-valued functional equations in Banach spaces by using the metric de ned on a fuzzy number space. Under some suitable conditions, some properties of the solutions for these equations such as existence and uniqueness are discussed. Our results can be regarded as important extensions of stability results corresponding to single-valued functional equations and set-valued functional equations, respectively.

Nowadays, simulation of viscoelastic flows at high Weissenberg numbers is one of the most obstacles and important issues for rheologists to observe the rheological properties at sufficiently high weissenberg number. It is well known that the conformation tensor should, in principle, remain symmetric positive definite (SPD) as it evolves in time. In fact, this property is crucial for the well-posedness of its evolution equation. In practice, this property is violated in many numerical simulations. Most likely, this is caused by the accumulation of spatial discretization errors that arise from numerical integration of the governing equations. In this research, we apply a mathematical transformation, the so-called hyperbolic tangent, on the conformation tensor to bound the eigenvalues and prevent the generation of negative spurious eigenvalues during simulations. The flow of FENE-P fluid through a 2D channel is selected as the test case. Discrete solutions are obtained by spectral/hp element methods which based on the high orders polynomials and have high accuracy for physical instability problems. This enhanced formulation, hyperbolic tangent, prevails the previous numerical failure by bounding the magnitude of eigenvalues in a manner that positive definite is always satisfied. Under this new transformation, the maximum accessible Weissenberg number increases 100% comparing the classical constitutive equation (FENE-P classic).

Predicting the stability of armor blocks of breakwaters and revetments is a very important issue in coastal and ocean engineering. The stability number deepens on the sea state and structural parameters. One of the most important parameters which can affect the stability of the rubble mound breakwater is water depth. On the other hand, selection of an appropriate wave height parameter is very vital in predicting the stability number. Recently, H50, the average of 50 highest waves that reach the breakwater in its useful life, has been used to predict the stability of the armor layer. In this paper, water depth parameter is used in wave length and surf similarity parameter in breakwater’s toe, is applied. A new formula is also developed based on H50 and surf similarity parameter in breakwater’s toe. Two experimental data sets of irregular waves are used to develop the new formula using the model tree. Results lead to the proposal of a single formula that includes tow formula. This implies that the stability number is independent of wave breaking type. Moreover, the proposed formula is found to produce more acceptable results than available empirical formulas for predicting the stability number.

The aim of this study was to investigate the effect of using portulaca oleracea as a source of plant antioxidants for feeding fattening male lambs, on carcass traits, meat quality, and oxidative stability. Twenty-one male lambs with an average weight of 24±1.5 kg and 150±15 days old were fed with one of the experimental rations included a diet without portulaca oleracea as control, a diet containing 7.5%, and a diet containing 15% portulaca oleracea, for 84 days. The muscle (Longissimus dorsi) samplewas used to determine pH, chemical composition, colorimetric properties, and oxidative stability of meat. Meat lipid oxidation was determined after 1, 7, and 30 days of refrigerated storage using thiobarbituric acid (TBARS). The use of portulaca oleracea in diets improved meat color characteristics such as L, chroma, and Hue. The highest ash concentration and the lowest meat moisture were observed in the treatment of 15% portulaca oleracea (P<0.05). Meat pH was the lowest in the first hour after slaughter but did not differ at 24 h. Compared to the control, in both treatment groups feeding the lambs with portulaca significantly reduced the concentration of Malondialdehyde in the meat of the lambs and increased the meat oxidative stability (P<0.05). The results of this experiment showed that feeding portulaca oleracea by improving properties such as color and increasing the meat oxidative stability improves meat quality, which may have lead to an increase in its nutritional value in terms of human health.

Background and aim: Results of Implant therapy have always been evaluated on the basis of radiographic and clinical assessments such as percussion, focused only on determination of peri-implant bone resorption and implant failures. These measurements are qualitative only and could not be considered as quantitative and reliable scales for the evaluation of stability; So they could not be statistically analysed. These difficulties could be overcome by using Resonance Frequency Analysis (RFA).RFA could be considered as a proper comparable measurement in evaluation of implant stability. This study aimed to evaluate and determine the stability of over denture loaded implants in a number of private clinics during 2006 -2007.Materials and Methods: This cross – sectional study was conducted on 13 patients provided with Swiss plus implant Therapy loaded by over dentures for the first step, each patient was evaluated regarding Implant Quality health Scale and put into one of five groups. Abutments were then removed and fixtures were evaluated by Osstell Mentor Instrument following the attachment of Smart peg to fixtures, Implant stability Qoutient was then determined. Sampling was done in a sequential approach and obtained data were statistically analyzed using X2 and t-test.Results: Fourty three implants were evaluated in 13 patients, 21 in maxilla and 22 in mandible the mean I.S.Q.Equaled 70.36 ± 4.43 in maxilla and 79.1 ± 3.51 in mandible. The total mean ISQ (bimaxillary mean ISQ) equaled 84.36 ± 5.94.Conclusion: Regarding the obtained results, Over denture loaded implants are absolutely successful treatment plans in mandible, according to their higher ISQ compared to maxilla. It is also demonstrated that stability of implants at each step of treatment Procedure is influenced by primary stability during placement more than any other factors. Primary stability itself is mainly influenced by surgeon`s experience in the proper following of surgical protocol.

Introduction: Copy number variation (CNV) consist of deletion, insertion, and duplications. It is an important source of genetic variation in organisms and thus influences on the gene expression and phenotypic variation. Copy number variation (CNV) is one of the structural variant with an intermediate size class larger than 50bp which involves unbalanced rearrangements that increase or decrease the amount of DNA (Pirooznia et al 2015, Alkan et al 2011). The size of CNVs is larger than 50bp, while smaller segments are known as insertions or deletions (indels). Thereupon these structural variations comprise more polymorphic than SNPs because of enormity, detection of them and their effect on phenotype has caught the attention of many researchers recently. It has been reported that CNVs changes in gene dosage and regulation as well as in transcript structure, and thus contribute to phenotypic variability (Pirooznia et al 2015, Alkan et al 2011). The pea-comb phenotype is caused by a CNV mapping to intron 1 of the SRY (sex determining region Y)-box 5 (SOX5) gene (Wright et al. 2009). Late feathering in chickens is due to incomplete duplication in PRLR and SPEF2 genes (Elfrink et al. 2008). In swine, dominant white colour has been related with a duplication of a 450-kb fragment of the KIT gene (Giuffra et al. 1999) and a splice mutation causing the skipping of exon 17 (Giuffra et al. 1999). In sheep, doubling in the ASIP gene results in the regulation of pigment in body coat (Norris et al. 2008). Doubling the 4.6 k base pair into the six introns of the STX17 gene results in a gray body color in the horse with age. Deletion of the intergenic region with a length of 11.7 kbp in the goat genome leads to the removal of horns (Clop et al. 2012). Chicken is the most intensively farmed animal on earth and is a major food source with billions of birds used in meat and egg production each year. A big share of chicken CNVs involves protein coding or regulatory sequences. A comprehensive study of chicken CNV can provide valuable information on genetic diversity and assist future analyses of associations between CNV and economically important traits in chickens. Unique chicken genome with macro and micro chromosomes and its biology make it an ideal organism for studies in development and evolution, as well as applications in agriculture and medicine (Burt 2005). In the last several years, There has been an increasing interest in the study of CNVs in the chicken. This study focuses on comparison of CNV between the broilers and layers chicken to find evidence of domestication on the genome using whole genome sequencing.Material and methods: we used n=90 female birds of two commercial broiler (n=40) and layer (n=50) chicken. The broilers (BRs) were represented by 20 DNA samples of each of two lines (BRA and BRB) established independently and previously collected as part of the AVIANDIV project. In the layer group (LRs), data from 25 birds each from purebred white (WL) and brown (BL) egg laying populations, sequenced in the frame of the SYNBREED project (http://www.synbreed.tum.de/index.php?id=2 ,(were included. The paired-end reads with a read length of 101bp were mapped against the current reference genome assembly Galgal6 using the Burrows-Wheeler aligner (bwa, 0.6.2-r126 Version, with default parameters. Duplicate reads were masked during post-processing using the Picard tool set (version 2.9.2, http://picard.sourceforge.net). Finally, Genome Analysis Toolkit-3.3.0 was used to realign reads for correcting errors caused by InDels. Using GATK software package and Depth Of Coverage function (McKenna et al 2010), the depth of readings was calculated for each sample. Then filter out reads with mapping quality below 20. Because comparing the genomes of individuals in different groups was time consuming and computationally difficult for all parts of the genome, the genomes of each individual were divided into 1000 bp non-overlapping windows and the average reading depth per window was calculated. Then the results were normalized against the BL sample that showed highest average depth. In short, we created a correction factor per population and applied it on the depth of coverage value for each window. For all the contrasts, we performed an analysis of variance (ANOVA) as described (Carneiro et al 2014). For the Broilers-Layers contrast we scanned 935247 windows. 70372 windows showed significant by FDR with P < 0.001, with ANOVA using the Benjamini-Hochberg FDR method for multiple corrections (Benjamini and Hochberg 1995).Results and discussion: Mapping sequencing data to galGal6 assembly showed an average 98.61% mapping rate and 11.51 depth. Manhattan plot was plotted for regions of the genome that differed significantly between the two groups (FDR = 0.001). The points above the hypothetical line were identified and examined in a 25 Kbp confidence interval to identify possible genes. 39 regions were identified that half of them dose not contain any genes. Although Long noncoding RNAs are under lower selective pressure than protein-coding genes (Batista and Chang 2013), The other 11 regions contained 16 genes related to long non-coding RNAs. Long noncoding RNAs (lncRNAs) play a critical role in organizing the 3-dimensional genome architecture and regulating gene activity in cis or in trans through multiple mechanisms (Zhang et al 2019, Batista and Chang 2013). 6 othere regions also contained 12 coding genes. Most of the identified genes were somehow linked to the immune system disease or cancer. Genes such as DEDs and TNFAIP8 are involved in programmed cell death (apoptosis) and two genes NPAL3 and RCAN, which are involved in the immune system, had a copy number variation in the studied samples. In addition RCAN is involved in Down syndrome. The PFDN gene, located on chromosome 25, is also involved in Alzheimer's and Parkinson's disease.

Introduction: One of the causes of error and perturbation in isodose curves in conventional radiotherapy treatment planning is the existence of tissues having either very high density (bone, prosthesis) or very low density (lung, air cavities). Nowadays, the use of CT images to solve this problem is growing, and so is the need for calibration curves that convert the CT-number of the tissue to electron density for dose calculation. The conventional method to obtain this curve is purely measurement-based, in which a phantom containing various materials of known electron densities is imaged. Alternatively, a more fundamental method of stoichiometry has been used in this work.Material and Methods: For the stoichiometric method, initially a cylindrical polyethylene phantom was built. The phantom consists of inserts of high-purity aluminum, PVC, polyethylene, water and cork to model hard bone, skeleton, fat, muscle and lung tissues, respectively. CT imaging was then performed at 120 kVp using a spiral CT scanner (GE model NXI). A system of simultaneous equations was solved to get the appropriate CT-number to electron-density conversion for each tissue type using the CT-numbers from the phantom images, the physical and radiological data of the materials. A conversion curve showing the variation of CT-number with relative electron density was also plotted. The result of the stoichiometric conversion was then compared to that from other methods.Results: The system of simultaneous equations yielded the factors, the experimental and the computed CT-numbers were compared. The highest uncertainty was estimated to be approximately 5.6% for a relatively high-density material such as aluminum and 4% for polyethylene. The curves representing the electron density based on CT-number start diverging at CT-number equal to zero and above.Discussion and Conclusion: Comparing the results obtained from the experimental and computational methods suggest an acceptable level of accuracy for the computational (stoichiometric) conversion. The uncertainty in the electron density obtained is greater for materials of higher electron density.

The effect of number of mating on longevity and fecundity of the predatory mite Euseius scutalis Athias-henriot was studied under laboratory conditions (at 25±1 ºC, 60 ± 5 % RH and 16: 8 L:D). Newly emerged adult females (less than 24 h) were held individually in a 9 cm arena. A male (less than 24 h) remained with a female for limited periods of time or continuously. Four treatments were designed: virgin females, single mated females, multiple mated females (female had access to a male every five days), multiple mated females (female had continuous access to a male). Mating was necessary for oviposition. Virgin females lived the longest (25 days). However, no significant differences were found among longevity of mated females (12- 15). Similarly, no significant differences were detected among fecundity of females with different numbers of mating (18- 22 eggs). Sex ratio was significantly female-biased in progeny of single mated females and multiple mated females with periodic access to male. However, no significant difference was found in sex ratio of progeny of multiple mated females with continuous access to male.